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2-Killing vector fields on multiply warped product manifolds

Author

Listed:
  • Blaga, Adara M.
  • Özgür, Cihan

Abstract

We characterize 2-Killing vector fields on multiply warped product manifolds. We find the necessary and sufficient conditions for the lift of a vector field on a factor manifold (Mi,gi), i=1,n¯, to be a 2-Killing vector field on the multiply warped product manifold, providing also conditions for the component of a Killing or a 2-Killing vector field on a multiply warped product to be a 2-Killing vector field on a factor manifold. Moreover, under certain assumptions, we prove that the component of a Killing or a 2-Killing vector field on a multiply warped product manifold is the potential vector field of a Ricci or a hyperbolic Ricci soliton factor manifold, respectively. As physical applications, we consider the spacetime case, constructing examples of 2-Killing vector fields on the generalized Robertson–Walker and on the generalized Kasner spacetimes.

Suggested Citation

  • Blaga, Adara M. & Özgür, Cihan, 2024. "2-Killing vector fields on multiply warped product manifolds," Chaos, Solitons & Fractals, Elsevier, vol. 180(C).
    • Handle: RePEc:eee:chsofr:v:180:y:2024:i:c:s0960077924001127
    DOI: 10.1016/j.chaos.2024.114561
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    References listed on IDEAS

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    1. Adara M. Blaga & Cihan Özgür, 2023. "Killing and 2-Killing Vector Fields on Doubly Warped Products," Mathematics, MDPI, vol. 11(24), pages 1-14, December.
    2. H. K. El-Sayied & Sameh Shenawy & Noha Syied, 2016. "Conformal Vector Fields on Doubly Warped Product Manifolds and Applications," Advances in Mathematical Physics, Hindawi, vol. 2016, pages 1-11, October.
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    1. Adara M. Blaga & Cihan Özgür, 2023. "Killing and 2-Killing Vector Fields on Doubly Warped Products," Mathematics, MDPI, vol. 11(24), pages 1-14, December.

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